Hi Inge,
These are adverbs of comparisons but used for different purposes.
Aussi ...que = 'as .... as'
Je conduis aussi bien/mal qu'elle = I drive as well/badly as her
Elle est aussi folle que moi = She is as mad as me
Patrick est aussi grand que sa mère = Patrick is as tall as his mother
It can be used with an adjective or an adverb.
Take a look at the Kwiziq lesson below which include 'autant que' which is 'as much as' meaning, the same amount :
J'ai autant de mal qu'elle à comprendre = I have as much difficulty as her in understanding
Il a autant d'argent que nous = He has as much money as us
Je conduis autant que lui quand nous sommes en France = I drive as much as him when we are in France
Hope this helps!